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Finding the Fourth Proportional to 3,780.75, 5,671.13 and 1,044.75

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Solution

The fourth proportional to 3,780.75, 5,671.13 and 1,044.75 is: 1,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.75 : 5,671.13 = 1,044.75 : x
  2. Step 2: Convert to fraction form
    3,780.75/5,671.13 = 1,044.75/x
  3. Step 3: Cross multiply
    3,780.75x = 5,671.13 × 1,044.75
  4. Step 4: Simplify right side
    3,780.75x = 5,924,907.84
  5. Step 5: Solve for x
    x = 5,924,907.84/3,780.75
  6. Step 6: Final answer
    x = 1,567.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.